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On the 2-systole of stretched enough positive scalar curvature metrics on S 2 × S 2

Abstract : We use recent developments by Gromov and Zhu to derive an upper bound for the 2-systole of the homology class of S 2 × { * } in a S 2 × S 2 with a positive scalar curvature metric such that the set of spheres homologous to S 2 × { * } is wide enough in some sense.
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Preprints, Working Papers, ...
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https://hal.u-pec.fr//hal-02889894
Contributor : Thomas Richard <>
Submitted on : Monday, December 14, 2020 - 8:26:35 AM
Last modification on : Wednesday, January 6, 2021 - 3:43:24 AM

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  • HAL Id : hal-02889894, version 3
  • ARXIV : 2007.02705

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Thomas Richard. On the 2-systole of stretched enough positive scalar curvature metrics on S 2 × S 2. 2020. ⟨hal-02889894v3⟩

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